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79_binarySearchTree_validate_Bst.cpp
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105 lines (85 loc) · 1.85 KB
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#include <bits/stdc++.h>
using namespace std;
class node
{
public:
int data;
node *left;
node *right;
node(int d)
{
this->data = d;
this->left = nullptr;
this->right = nullptr;
}
};
node *insertIntoBst(node* root , int d)
{
if(root == nullptr)
return new node(d);
if(d > root -> data){
root->right = insertIntoBst(root->right , d);
}
else{
root->left = insertIntoBst(root->left , d);
}
return root;
}
void takeInput(node *root)
{
int data;
cin >> data;
while (data != -1)
{
cin >> data;
root = insertIntoBst(root, data);
}
}
// ---------------- Approach 1 -------------
// bool isBST(node* root , int min , int max){
// if(root == nullptr){
// return true;
// }
// if(root -> data >= min && root -> data <= max){
// bool left = isBST(root->left, min, root -> data);
// bool left = isBST(root->left, root -> data , max);
// return left && right;
// }
// else{
// return false;
// }
// }
// bool validateBST(node* root){
// return isBST(root, INT_MIN, INT_MAX);
// }
// ------------------ Approach 2 -----------------
void inOrderTraversal(node* root , vector<int> ans){
if(root == nullptr)
return;
inOrderTraversal(root->left , ans);
ans.push_back(root->data);
inOrderTraversal(root->right, ans);
}
bool validateBST(node* root){
vector<int> ans;
inOrderTraversal(root, ans);
for (int i = 1; i < ans.size(); i++){
if(ans[i] <= ans[i - 1]){
return false;
}
}
return true;
}
int main()
{
node *root = nullptr;
takeInput(root);
if (validateBST(root))
{
cout << "The tree is a valid BST." << endl;
}
else
{
cout << "The tree is not a valid BST." << endl;
}
}